This paper deals with an improved backstepping control strategy for
sensorless control of a permanent magnet synchronous motor (PMSM) based
on field-oriented control (FOC), using a backstepping controller to improve
its performances. However, this control requires the precise knowledge of
some machine’s variables which could not be available. In electric drives
control, sensors are generally used as the main devices for feedback
information. Some practical constraints could affect the system
performances, due to the lack of measurement material or maintenance
difficulties caused by the dysfunction or faults of the used sensors such as:
encoder or resolver sensors of speed-position. In this paper, a sensorless
control is proposed based on a dynamic backstepping method and an
extended Kalman filter (EKF) which uses the state space formulation with a
set of mathematical equations to recursively estimate future observations and
minimizes the mean square error of the estimated variables (rotor speed
position and torque) to design controllers for nonlinear systems. The
proposed control scheme achieves the asymptotically uniformed stability.
The effectiveness of this method is illustrated by the stabilization and
tracking numerical examples and the obtained simulation results show the
effectiveness and the feasibility of the proposed controller using Lyapunov
approach.

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